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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.3: Vectors

Problem 60E

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Find the directional derivative of the function at the given point in the direction of the vector v.

11-17 Find the directional derivative of the function at the given
point in the direction of the vector v.
11. f(x, y) = 1 + 2x/y, (3,4), v= (4, –3)
12. f(x, у) — In(x? + у?), (2, 1), v3 (-1,2)
||
13. д(р, q) — р* - р'g, (2, 1), v %3Di+3j
14. g(r, s) = tan"(rs), (1, 2), v = 5i + 10j
15. f(x, y, z) = xe' + ye² + ze*, (0,0, 0),
(5, 1, –2)
|
(16. f(x, y, z) = Vxyz, (3, 2, 6), v=(-1,–2, 2)
17. д(х, у, 2) — (х + 2у + 32)3/2, (1, 1, 2), v %3D 2j — k
||

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